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Consider Review Exercise 3.64 on page 107. There are two

Probability and Statistics for Engineers and the Scientists | 9th Edition | ISBN: 9780321629111 | Authors: Ronald E. Walpole; Raymond H. Myers; Sharon L. Myers; Keying E. Ye ISBN: 9780321629111 32

Solution for problem 4.70 Chapter 4

Probability and Statistics for Engineers and the Scientists | 9th Edition

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Probability and Statistics for Engineers and the Scientists | 9th Edition | ISBN: 9780321629111 | Authors: Ronald E. Walpole; Raymond H. Myers; Sharon L. Myers; Keying E. Ye

Probability and Statistics for Engineers and the Scientists | 9th Edition

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Problem 4.70

Consider Review Exercise 3.64 on page 107. There are two service lines. The random variables X and Y are the proportions of time that line 1 and line 2 are in use, respectively. The joint probability density function for (X,Y ) is given by f(x,y)=3 2(x2 + y2), 0 x, y 1, 0, elsewhere. (a) Determine whether or not X and Y are independent. (b) It is of interest to know something about the proportion of Z = X + Y , the sum of the two proportions. Find E(X + Y ). Also nd E(XY). (c) Find Var(X), Var(Y ), and Cov(X,Y ). (d) Find Var(X + Y ).

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Tuesday, April 4 • Example 12: Sleeping Medication A research concludes that the number of hours of additional sleep by patients using Ambien increased on average by a statistically significant amount , 1.5 hours. What type of error might this be H :0 Ambien has no effect ; aH : Ambien increases sleep on average; rejected null a. This is a correct decision. The researchers concluded a significant increase in the number of hours of sleep, on av

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Textbook: Probability and Statistics for Engineers and the Scientists
Edition: 9
Author: Ronald E. Walpole; Raymond H. Myers; Sharon L. Myers; Keying E. Ye
ISBN: 9780321629111

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Consider Review Exercise 3.64 on page 107. There are two